Question

Find the value of x if cos^2x + sinx=5/4

Answer 1

Step-by-step explanation:

cos²x + sinx=5/4

1-sin²x+ sinx=5/4

4-4sin²x+4sinx=5

4sin²x-4sinx+1=0

(2sinx-1)²=0

sinx=1/2

sinx=sin30°

X=nπ + (-1)^n*30°. n£Z